Determine the number of solutions to this system of linear equations:

2x+y=6
4x+2y=8

We can start by simplifying the second equation by dividing it by 2, which gives us:

2x + y = 6
2x + y = 4

We can see that both equations are the same. This means that the two equations are equivalent and represent the same line in the coordinate plane.

Since the equations represent the same line, there are infinitely many solutions to the system of linear equations.